We investigate the behavior of two-dimensional quantum field theories with N=(0,2) supersymmetry under a deformation induced by the "TT" composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N=(0,2) supersymmetry. As an example of this construction, we work out the deformation of a free N=(0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N=(0,2) supersymmetric deformed action actually possesses N=(2,2) symmetry, half of which is nonlinearly realized.
T T deformations with N= (0,2) supersymmetry
Sfondrini A.;
2019
Abstract
We investigate the behavior of two-dimensional quantum field theories with N=(0,2) supersymmetry under a deformation induced by the "TT" composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N=(0,2) supersymmetry. As an example of this construction, we work out the deformation of a free N=(0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N=(0,2) supersymmetric deformed action actually possesses N=(2,2) symmetry, half of which is nonlinearly realized.Pubblicazioni consigliate
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